https://doi.org/10.1140/epjst/e2013-02028-5
Regular Article
Detection of coupling between oscillators with analytic tests for significance
1 Saratov Branch of V.A. Kotel'nikov Institute of RadioEngineering and Electronics of the Russian Academy of Sciences, 38 Zelyonaya St., Saratov 410019, Russia
2 Saratov State University, 83 Astrakhanskaya St., Saratov 410012, Russia
a e-mail: smirnovda@yandex.ru
Received: 16 July 2013
Revised: 13 August 2013
Published online: 28 October 2013
To detect coupling between two oscillators from a time series, we suggest a method based on the estimation of the phase increments correlation with an analytic test for significance. With exemplary oscillators, we show that the suggested method complements a widely used approach based on the estimation of the mean phase coherence. In particular, the suggested method allows efficient detection of a non-synchronizing coupling and, due to a less restrictive null hypothesis, it is applicable to a wider range of situations, including arbitrarily strong phase nonlinearities.
© EDP Sciences, Springer-Verlag, 2013
